Sample Questions

In an a.c. circuit the voltage applied is E = E0sinω t. The resulting current in the circuit is I = I0sin (ωt -π/2) . The power consumption in the circuit is given by

P = E0I0/√2

P = E0I0/2

P√2 E0I0

P = zero

Question
2

A point mass oscillates along the x-axis according to the law x = x0cos (ωt − π/4). If the acceleration of the particle is written as a = A cos(ωt + δ)

A = x0ω2, δ = −π/4

A = x0ω2, δ = −π/4

A = x0ω2, δ = 3π/4

A = x0, δ= −π/4

Question
3

A parallel plate condenser with a dielectric of dielectric constant K between the plates has a capacity C and is charged to a potential V volts. The dielectric slab is slowly removed from between the plates and then reinserted. The net work done by the
system in this process is

CV2(K - 1)/K

(1/2)(K - 1)CV2

zero

(K - 1)CV2

Question
4

A particle of mass m executes simple harmonic motion with amplitude ‘a’ and frequency ‘ν’. The average kinetic energy during its motion from the position of equilibrium to the end is

4 π2ma2v2

π2ma2v2

(1/4) π2ma2v2

2 π2ma2v2

Question
5

In a Young’s double slit experiment the intensity at a point where the path difference is λ/6 ( λ being the wavelength of the light used) is I. If I0denotes the maximum intensity, I/I0is equal to

1/√2

√3/2

41276

41337

Question
6

A particle is projected at 60° to the horizontal with a kinetic energy K. The kinetic energy at the highest point is

zero

K/2

K

K/4

Question
7

A 2 kg block slides on a horizontal floor with a speed of 4 m/s. It strikes a uncompressed spring,and compresses it till the block is motionless. The kinetic friction force is 15 N and spring constantis 10,000. N/m. The spring compresses by

11.0 cm

5.5 cm

2.5 cm

8.5 cm

Question
8

Angular momentum of the particle rotating with a central force is constant due to

Constant Torque

Constant Force

Constant linear momentum

Zero Torque

Question
9

A circular disc of radius R is removed from a bigger circular disc of radius 2R such that the circumferences of the discs coincide. The centre of mass of the new disc is α /R from the centre of the bigger disc. The value of α is

1/2

1/6

1/4

1/3

Question
10

If gEand gmare the accelerations due to gravity on the surfaces of the earth and the moon respectively and if Millikan’s oil drop experiment could be performed on the two surfaces, one willfind the ratio (electronic
charge on the moon) /(electronic charge on the earth) to be

0

gM/gE

1

gE/gM

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